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Show that (1)/(sqrt(3)) is irrational |
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Answer» HELLO Let, TAKE that 1/√3 is rational no. so, we can WRITE this no. as 1/√2 = a/b..... here, a nd b are 2 co- prime no. and b is not = 0..... multiple by √3 both side we, get 1= (a√3)/b..... noW, multiply bY bb= a√3divided by a we got ans~~ b/@ = √3 here, a nd b r integer so, b/a is rational no. so, √3 should be rational no.but....√3 is irrational no. it CONTRADICTS HENCE, 1/√3 is irrational no.- hope it helps |
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